100701306 has 40 divisors (see below), whose sum is σ = 227683764. Its totient is φ = 33264000.

The previous prime is 100701287. The next prime is 100701323. The reversal of 100701306 is 603107001.

It can be written as a sum of positive squares in 2 ways, for example, as 100701225 + 81 = 10035^2 + 9^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15556 + ... + 21056.

Almost surely, 2^100701306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100701306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113841882).

100701306 is an abundant number, since it is smaller than the sum of its proper divisors (126982458).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100701306 is a wasteful number, since it uses less digits than its factorization.

100701306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5628 (or 5619 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 100701306 is about 10035.0040358736. The cubic root of 100701306 is about 465.2414147051.

Adding to 100701306 its reverse (603107001), we get a palindrome (703808307).

The spelling of 100701306 in words is "one hundred million, seven hundred one thousand, three hundred six".